Simplify the exponents
3-2=1 therefore it should be 1/7 the third answer. Hope that helps
Explanation:
A sequence is a list of numbers.
A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.
<u>Examples</u>
- 1, 2, 4, 8, ... common ratio is 2
- 27, 9, 3, 1, ... common ratio is 1/3
- 6, -24, 96, -384, ... common ratio is -4
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<u>General Term</u>
Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...
a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence
where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...
- a(n) = 2^(n -1)
- a(n) = 27×(1/3)^(n -1)
- a(n) = 6×(-4)^(n -1)
You can see that these formulas are exponential in nature.
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<u>Sum of Terms</u>
Another useful formula for geometric sequences is the formula for the sum of n terms.
S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence
When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...
S = a(1)/(1-r)
700/10 equals 70, so the answer is 70.
Answer:
15
Step-by-step explanation:
65×252=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
6×255×2=15010
Since 150 divided by 10 equals 15 then,
15010=15
Therefore:
65×252=15
Cylinder A can hold 6902.08 ft^3
Cylinder B can hold 5654.87 ft^3
6902.08 - 5654.87 = 1247.21
The amount that will be left over in container A is 1247.21
